Results 21 to 30 of about 742 (186)
Generalized stress field in granular soils heap with Rayleigh–Ritz method
Journal of Rock Mechanics and Geotechnical Engineering, 2017 The stress field in granular soils heap (including piled coal) will have a non-negligible impact on the settlement of the underlying soils. It is usually obtained by measurements and numerical simulations.
Gang Bi
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Thermal Buckling Analysis of Laminated Composite plates with General Elastic Boundary Supports
Journal of Engineering, 2020 In this study, the modified Rayleigh-Ritz method and Fourier series are used to determine the thermal buckling behavior of laminated composite thin plates with a general elastic boundary condition applied to in-plane uniform temperature distribution ...
Mohammed Basheer Alabas +1 more
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Buckling of elastically restrained nonlocal carbon nanotubes under concentrated and uniformly distributed axial loads [PDF]
Mechanical Sciences, 2019 Buckling of elastically restrained carbon nanotubes is studied subject to a combination of uniformly distributed and concentrated compressive loads. Governing equations are based on the nonlocal model of carbon nanotubes.
M. T. A. Robinson, S. Adali
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Buckling Analysis of Functionally Graded Tapered Microbeams via Rayleigh–Ritz Method
Mathematics, 2022 In the present study, the buckling problem of nonhomogeneous microbeams with a variable cross-section is analyzed. The microcolumn considered in this study is made of functionally graded materials in the longitudinal direction and the cross-section of ...
Bekir Akgöz, Ömer Civalek
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An Analysis of Nonlinear Beam Vibrations with the Extended Rayleigh-Ritz Method [PDF]
Journal of Applied and Computational Mechanics, 2022 The nonlinear deformation and vibrations of beams are frequently encountered as a typical example of structural analysis as well as a mathematical problem.
Huimin Jing +4 more
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On the Methods of Rayleigh-Ritz-Weinstein [PDF]
Proceedings of the American Mathematical Society, 1952 The Rayleigh-Ritz-Weinstein methods are concerned with the connection between eigenvalues of a completely continuous symmetric operator in a Hilbert space and the eigenvalues of its projection into a subspace X of H such that the difference Hex-x is finitedimensional.
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Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method
Advances in Civil Engineering, 2019 In this investigation, an improved Rayleigh–Ritz method is put forward to analyze the free vibration characteristics of arbitrary-shaped plates for the traditional Rayleigh–Ritz method which is difficult to solve.
Wenjie Guo, Qingsong Feng
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Energy methods for curved composite beams with partial shear interaction
Curved and Layered Structures, 2015 This paper presents a derivation of the Rayleigh- Betti reciprocity relation for layered curved composite beams with interlayer slip. The principle of minimum of potential energy is also formulated for two-layer curved composite beams and its ...
Ecsedi István, Lengyel Ákos József
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A Short Theory of the Rayleigh–Ritz Method [PDF]
Computational Methods in Applied Mathematics, 2013 Abstract. We present some new error estimates for the eigenvalues and eigenfunctions obtained by the Rayleigh–Ritz method, the common variational method to solve eigenproblems. The errors are bounded in terms of the error of the best approximation of the eigenfunction under consideration by functions in the ansatz space.
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Quadratic Interpolation and Rayleigh–Ritz Methods for Bifurcation Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2010 In this article we study the estimation of bifurcation coefficients in nonlinear branching problems by means of Rayleigh-Ritz approximation to the eigenvectors of the corresponding linearized problem. It is essential that the approximations converge in a norm of sufficient strength to render the nonlinearities continuous.
W. M. Greenlee, Lotfi Hermi
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